Abundance of non-uniform hyperbolicity in bifurcations of surface endomorphisms
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Publication:719098
DOI10.3836/tjm/1313074445zbMath1268.37070OpenAlexW2149623537MaRDI QIDQ719098
Publication date: 27 September 2011
Published in: Tokyo Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3836/tjm/1313074445
singularitiesbifurcationsHénon-like mapshomoclinic behaviornon-uniform hyperbolicsurface endomorphisms
Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25) Homoclinic and heteroclinic orbits for dynamical systems (37C29)
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Removal of phase transition in the Chebyshev quadratic and thermodynamics for Hénon-like maps near the first bifurcation ⋮ Emergence and non-typicality of the finiteness of the attractors in many topologies ⋮ Prevalent dynamics at the first bifurcation of Hénon-like families ⋮ Lyapunov spectrum for Hénon-like maps at the first bifurcation ⋮ Equilibrium Measures at Temperature Zero for Hénon-Like Maps at the First Bifurcation ⋮ Equilibrium measures for the Hénon map at the first bifurcation: uniqueness and geometric/statistical properties ⋮ Properties of the maximal entropy measure and geometry of Hénon attractors
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